Question

Incident photons of energy 11,905 eV are Compton scattered, and the scattered beam is observed at 66 degrees relative to the incident beam. What is the energy of the scattered photons at that angle, in eV?

Answer 1

Shift in wavelength of photon in Compton scattering is given by

Where is the initial wavelength of photon, is wavelength of scattered photon, and is angle at which the beam scattered with respect to the initial beam direction.

The wavelength of the incident beam is

And the angle of scattering is 66 degrees.

Putting this in the equation mentioned above, we get

Or

or, ​​​​​​

So, the energy of the scattered photon in eV at this angle is